What is the missing reason in steps 7 and 8 of the proof?
given: ∆abc with ab = c, bc = a, a...
Mathematics, 23.08.2019 05:00 erikloza12pdidtx
What is the missing reason in steps 7 and 8 of the proof?
given: ∆abc with ab = c, bc = a, ac = b
prove: = =
statement reason
1. draw a line through b that is perpendicular to and label the point of intersection with as d. construction
2. in ∆abd, bd = c sin a definition of sine in right triangle
3. in ∆cbd, bd = a sin c definition of sine in right triangle
4. c sin a = a sin c substitution property of equality
5. = dividing throughout by sin a
sin c
6. draw a line through a that is perpendicular to and label the point of intersection with as e. construction
7. in ∆bae, ae = c sin b
8. in ∆cae, ae = b sin c
9. c sin b = b sin c substitution property of equality
10. = dividing throughout by sin b
sin c
11. = = transitive property of equality
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